Internal problem ID [2615]
Book: Differential equations with applications and historial notes, George F. Simmons,
1971
Section: Chapter 2, End of chapter, page 61
Problem number: 14.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, class C], _rational, [_Abel, 2nd type, class A]]
Solve \begin {gather*} \boxed {6 x +4 y+3+\left (3 x +2 y+2\right ) y^{\prime }=0} \end {gather*}
✓ Solution by Maple
Time used: 0.025 (sec). Leaf size: 15
dsolve((6*x+4*y(x)+3)+(3*x+2*y(x)+2)*diff(y(x),x)=0,y(x), singsol=all)
\[ y \relax (x ) = -\frac {3 x}{2}+\LambertW \left ({\mathrm e}^{-\frac {x}{2}} c_{1}\right ) \]
✓ Solution by Mathematica
Time used: 0.018 (sec). Leaf size: 25
DSolve[(6*x+4*y[x]+3)+(3*x+2*y[x]+2)*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -\frac {3 x}{2}+\text {ProductLog}\left (-e^{-\frac {x}{2}-1+c_1}\right ) \\ \end{align*}